use std::collections::{BTreeSet, HashMap};

fn dfs(u: usize, paths: &Vec<Vec<usize>>, result: &mut Vec<usize>, checked: &mut Vec<bool>) -> usize {
    if u == 0 { return 0; }
    if result[u] > 0 { return result[u]; }
    checked[u] = true;
    let mut ret = u;
    for &v in paths[u].iter() {
        if result[v] > 0 {
            ret = ret.max(result[v]);
            continue;
        }
        if checked[v] { continue; }
        ret = ret.max(dfs(v, paths, result, checked));
    }
    result[u] = ret;
    ret
}

fn main() {
    let mut n = String::new();
    std::io::stdin().read_line(&mut n).ok();
    let n: usize = n.trim().parse().unwrap();
    let mut x = String::new();
    std::io::stdin().read_line(&mut x).ok();
    let x: Vec<isize> = x.trim().split_whitespace().map(|s| s.parse().unwrap()).collect();
    let mut a = String::new();
    std::io::stdin().read_line(&mut a).ok();
    let a: Vec<isize> = a.trim().split_whitespace().map(|s| s.parse().unwrap()).collect();

    let mut pointset = BTreeSet::new();
    for i in 0..n {
        pointset.insert(x[i]);
        pointset.insert(x[i]-a[i]);
        pointset.insert(x[i]+a[i]);
    }
    let mut mapping = HashMap::new();
    let mut revmap = HashMap::new();
    for (i, &v) in pointset.iter().enumerate() {
        mapping.insert(v, i);
        revmap.insert(i, v);
    }
    let mut paths = vec![vec![]; pointset.len()];
    for i in 0..n {
        let src = *mapping.get(&x[i]).unwrap();
        let left = *mapping.get(&(x[i] - a[i])).unwrap();
        let right = *mapping.get(&(x[i] + a[i])).unwrap();
        paths[src].push(left);
        paths[src].push(right);
    }
    let mut result = vec![0usize; pointset.len()];
    let mut checked = vec![false; pointset.len()];
    for i in 0..n {
        let src = x[i];
        let i = *mapping.get(&x[i]).unwrap();
        if result[i] != 0 {
            println!("{}", *revmap.get(&result[i]).unwrap() - src);
            continue;
        }
        dfs(i, &paths, &mut result, &mut checked);
        println!("{}", *revmap.get(&result[i]).unwrap() - src);
    }
}